In the table below, you can see the probability distribution of profits, for construction projects, considering three probable scenarios: low profit, medium profit, and high profit. Suppose two projects in different cities, each with independent return distributions identical to the one shown in the table, are undertaken. If the combined returns from these two projects amount to at least $6,000 what is the probability that the total returns will be $18,000 or higher? Return Low-12000 Medium 6000 High 18000 O a. 0.44 O b. 0.51 O c. 0.37 O d. 0.74 e. 0.65 Prob 0.19 0.57 0.24

Oxnard Petro LTD is buying hurrican insurance for its off-coast oil drilling platform.  During the next five years, the probability of total loss of only above-water superstructure ($350) is .25, the probability of total loss of the facility ($850) is .25 and the probability of no loss is .50 find the expected loss

An insurer writes a large book of home warranty policies. You are given the following information regarding claims filed by insureds against these policies: (i) A maximum of one claim may be filed per year. The probability of a claim varies by insured, and the claims experience for each insured is independent of every other insured. (ii) (ii) The probability of a claim for each insured remains constant over time. (iv) The overall probability of a claim being filed by a randomly selected insured in a year is 0.10. (v) The variance of the individual insured claim probabilities is 0.01. An insured selected at random is found to have filed 0 claims over the past 10 years. Determine the Bühlmann credibility estimate for the expected number of claims the selected insured will file over the next 5 years. (A) 0.04 (B) 0.08 (C) 0.17 (D) 0.22 (E) 0.25

Dystopia county has three bridges. In the next year, the Elder bridge has a 11% chance of collapse, the Younger bridge has a 3% chance of collapse, and the Ancient bridge has a 17% chance of collapse. What is the probability that exactly one of these bridges will collapse in the next year? (Round your final answer to four decimal places. Do not round intermediate calculations.)

Over the weekend, Ashley has to finish her statistics and mathematics assignments. The probability that she will finish the statistics assignment is 0.65, the probability that she will finish the mathematics assignment is 0.70, and the probability that she will finish both assignments is 0.40. What is the probability that Ashley will: (a) not finish the mathematics assignment given that she has finished the statistics assignment. (b) finish the mathematics assignment given that she has not finished the statistics assignment.

SECTION 11.3: EXPECTED VALUE ONLINE VERSION 1. You play a game in which 30% of the time you will WIN $5 and 70% of the time you will LOSE $3. What is the expected value for this game? Please show your work.

The​ (hypothetical) table below shows the relationship between the number of hours students work at​ part-time jobs each week and the number of years it takes then to graduate with an undergraduate degree. If a student works more than 5 hours per​ week, what is the probability that the student graduates in over 6​ years?

About two events A and B, we know that A occurs with 32% probability and B with 15% probability. It is also known that both intersect at the same time with a probability of 10%. Examine whether A and B are independent events.

Investment advisors recommend risk reduction through international diversification. International investing allows you to take advantage of the potential for growth in foreign economies, particularly in emerging markets. Janice Wong is considering investment in either Europe or Asia. She has studied these markets and believes that both markets will be influenced by the U.S. economy, which has a 20% chance for being good, a 50% chance for being fair, and a 30% chance for being poor. Probability distributions of the returns for these markets are given in the accompanying table. State of the U.S. Economy Returns in Europe Returns in Asia Good 10% 18% Fair 6% 10% Poor −6% −12%

You are an analyst for a consumer products company. You run a survey of 1000 customers and find that 80% of customers use gel packs for laundry detergent (the rest use liquid or powder) and 40% of customers use gel packs for their dishwasher detergent (the rest use liquid or powder). You also learn that twice as many customers use laundry detergent than dishwasher detergent.